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Question

The number of integral terms in the expansion of (3+85)256 is

A
32
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B
33
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C
34
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D
35
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Solution

The correct option is A 32
In the expansion of (3+85)256,

General term, Tr+1=256Cr(3)256r(85)r
= 256Cr3(256r)/25r/8

The terms are integral if 256r2 and r8 are both positive integers.
r=0,8,16,24,....,256
Hence, there are 33 integral terns.

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